Unverified60% confidenceFactExact time
The core strategy of Wiles's proof is to prove a special case of the Taniyama–Shimura conjecture (the modularity theorem), namely that every semistable elliptic curve is a modular form.
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60%
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Long-term
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9/6/2026
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Related Claims
UnverifiedThe Taniyama–Shimura conjecture, which was the core tool Andrew Wiles used to prove Fermat's Last Theorem, is a special case of the Langlands program.77% similarUnverifiedThe final proof of Fermat's Last Theorem was completed within the scheme-theoretic framework of algebraic geometry.76% similarUnverifiedWiles's proof of Fermat's Last Theorem spans 129 pages, with its core being the establishment of a correspondence between semistable elliptic curves and modular forms (a special case of the Taniyama–Shimura conjecture).75% similarUnverifiedWiles's proof combined modern mathematical tools such as modular forms, elliptic curves and Galois representations.74% similarUnverifiedThe author proves the existence of a solution to the conjugate moment measure decomposition equation using Schauder's fixed-point theorem, with the proof requiring compactness assumptions (ρ absolutely continuous and supported on a compact convex set).72% similar
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